Given the parent functions f(x) = 3x + 2 and g(x) = 5x − 10, what is g(x) − f(x)?

Ag(x) − f(x) = 5x − 8 − 3x

Bg(x) − f(x) = 5x − 12 − 3x

Cg(x) − f(x) = 3x − 8 − 5x

Dg(x) − f(x) = 3x + 12 − 5x

Verified Answer :

f(x) = 3x + 2
g(x) = 5x - 10

g(x) - f(x) = (5x - 10) - (3x + 2)
g(x) - f(x) = (5x - 3x) + (-10 - 2)
g(x) - f(x) = 2x - 12

The answer is B.

as we know  that
.

g(x)-f(x)= 5x-10-(3x+2) by solving further

 =5x-10-3x-2 rearrange
 =5x-10-2-3x

=5x-12-3x
so i conclude option B is correct
hope it helps